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The static property of a perturbed multiclass closed queueing network and decomposition

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1 Author(s)
Xi-Ren Cao ; Digital Equipment Corp., Marlboro, MA, USA

A multiclass closed queueing network is viewed as a dynamic system. It is considered that a small perturbation of an event will be propagated to other events as the system evolves. The evolution of a perturbation strongly depends on the system structure. An indecomposable network is defined as a network in which a perturbation of an event at any server will, with probability one, be finally lost or propagated to all servers in the network. It is shown that a multiclass closed queueing network may be undecomposable even if every customer cannot reach every server in the network. A necessary and sufficient condition for a multiclass network to be indecomposable is given. It is concluded that the results clearly display the dynamic feature of queueing networks

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Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 2 )